For a real number x, the equation 2(x + 5) = 16 is true. What is the value of the expressi… — ACT

For a real number $x$ , the equation $2(x + 5) = 16$ is true. What is the value of the expression $3x - 1$ ?

Answer: 8

The value of the expression

3x - 1

is 8.

Solving the equation

2(x + 5) = 16

gives

x = 3

. Evaluating the expression

3x - 1

for

x = 3

yields

3(3) - 1 = 8

Distribute the 2 on the left side of the equation.

2x + 10 = 16

To eliminate the parentheses using the distributive property.

Subtract 10 from both sides of the equation.

2x = 6

To isolate the variable term on one side of the equation.

Divide both sides of the equation by 2.

x = 3

To find the value of

x

Substitute the value of

x

into the expression

3x - 1

3(3) - 1 = 8

To evaluate the final expression as requested by the question.

Solving multi-step linear equations and evaluating algebraic expressions.

Estimated Time:45s

Question